.3(15)+.05x=.2(x+15)

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Solution for .3(15)+.05x=.2(x+15) equation:


Simplifying
0.3(15) + 0.05x = 0.2(x + 15)

Multiply 0.3 * 15
4.5 + 0.05x = 0.2(x + 15)

Reorder the terms:
4.5 + 0.05x = 0.2(15 + x)
4.5 + 0.05x = (15 * 0.2 + x * 0.2)
4.5 + 0.05x = (3 + 0.2x)

Solving
4.5 + 0.05x = 3 + 0.2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.2x' to each side of the equation.
4.5 + 0.05x + -0.2x = 3 + 0.2x + -0.2x

Combine like terms: 0.05x + -0.2x = -0.15x
4.5 + -0.15x = 3 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
4.5 + -0.15x = 3 + 0.0
4.5 + -0.15x = 3

Add '-4.5' to each side of the equation.
4.5 + -4.5 + -0.15x = 3 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -0.15x = 3 + -4.5
-0.15x = 3 + -4.5

Combine like terms: 3 + -4.5 = -1.5
-0.15x = -1.5

Divide each side by '-0.15'.
x = 10

Simplifying
x = 10

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